Questions: Arrange these three colors of visible light - green, red, and blue - in order of increasing energy per photon.

Arrange these three colors of visible light - green, red, and blue - in order of increasing energy per photon.
Transcript text: Arrange these three colors of visible light - green, red, and blue - in order of increasing energy per photon.
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Solution

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Solution Steps

Step 1: Understanding the relationship between wavelength and energy

The energy of a photon is inversely proportional to its wavelength. This relationship is given by the equation: \[ E = \frac{hc}{\lambda} \] where \( E \) is the energy, \( h \) is Planck's constant, \( c \) is the speed of light, and \( \lambda \) is the wavelength.

Step 2: Identifying the wavelengths of the colors

In the visible spectrum, red light has the longest wavelength, followed by green, and then blue, which has the shortest wavelength.

Step 3: Arranging the colors by increasing energy

Since energy is inversely proportional to wavelength, the color with the shortest wavelength (blue) will have the highest energy, and the color with the longest wavelength (red) will have the lowest energy.

Final Answer

\(\boxed{\text{red} < \text{green} < \text{blue}}\)

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